Minimality conjecture for periodic spectral projections

Let $\eqp$ be an irreducible ergodic quantum process defined by $\seq{\theta, \phi}$, and let $\alpha\in\PerSpecEQP$. For the disordered quantum process defined by $\seq{\theta^{\tau_\alpha}, \phi^{(\tau_\alpha)}}$, a minimality conjecture asserts that every $p\in\mcP_\alpha$ is a minimal reducing projection.

This conjecture concerns the reducing projections of the disordered process and is intended to help characterize its irreducibility. The supplied text gives no resolution of the conjecture.